Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials

機構典藏 > College of Sciences > Graduate Institute & Department of Physics > Journal Article > Item 987654321/98434

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/98434

Title:	Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
Authors:	Ho, C-L;Lee, J-C;R. Sasaki
Contributors:	淡江大學物理學系
Keywords:	Multi-indexed solvable potential;Multiple Darboux transformation;Scattering amplitude;Shape invariance
Date:	2013-09-25
Issue Date:	2014-08-02 22:46:56 (UTC+8)
Publisher:	Maryland Heights: Academic Press
Abstract:	New solvable one-dimensional quantum mechanical scattering problems are presented. They are obtained from known solvable potentials by multiple Darboux transformations in terms of virtual and pseudo virtual wavefunctions. The same method applied to confining potentials, e.g. Pöschl–Teller and the radial oscillator potentials, has generated the multi-indexed Jacobi and Laguerre polynomials. Simple multi-indexed formulas are derived for the transmission and reflection amplitudes of several solvable potentials.
Relation:	Annals of Physics 343, pp.115-131
DOI:	10.1016/j.aop.2014.01.015
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

Files in This Item:

File	Size	Format
index.html	0Kb	HTML	179	View/Open
index.html	0Kb	HTML	38	View/Open
Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials.pdf	446Kb	Adobe PDF	1	View/Open